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Value of f(2) for a quadratic

High school · ●●●○○ 50 pts

Let aa and bb be real numbers. The quadratic function f(x)=x2+ax+bf(x)=x^{2}+ax+b satisfies f(f(0))=f(f(1))=0f(f(0))=f(f(1))=0 and f(0)≠f(1)f(0)\neq f(1). Find f(2)f(2).

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quadratic functionsfunction compositionpolynomial rootsfactoring quadratics